That's according to Gazzetta dello Sport's Nicolo Schira, who made the revelation on social media.
The Reds have offered the 23-year-old a blockbuster five-year contract to move to Anfield.
Personal negotiations are underway and the German striker has been offered a five-year contract worth £6.7m-a-year (€8m).
“Talks ongoing to finalise the deal. #transfers #LFC.
“Liverpool are in advanced talks for Timo #Werner. Reds are ready to pay the clause (€58M) to #Leipzig and close the deal until April (when clause expires). #transfers #LFC."